(b) Use a calculator to verify that Ex = 1.957, E? = 0.553, Ey = 30.3, Ey² = 152.67 and Exy = 8.791. Compute r. (Round your answer to four decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, y should tend to decrease as x increases. Given our value of r, y should tend to remain constant as x increases. O Given our value of r, we can not draw any conclusions for the behavior of y as x increases. O Given our value of r, y should tend to increase as x increases.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information.

In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A
random sample of n = 7 professional baseball players gave the following information.
0.249
0.253
0.286
0.263
0.268
0.339
0.299
y
1.2
4.0
5.5
3.8
3.5
7.3
5.0
n USE SALT
(a) Make a scatter diagram of the data.
Graph Layers
«
After you add an object to the graph you
can use Graph Layers to view and edit its
properties.
Fill
No
Solution
0.24 0.25
0.27
0.28
0,3 0.31
0.32
0.28
0.29
0.33
O Help
WebAssign. Graphing Tool
(b) Use a calculator to verify that Ex = 1.957, Ex? = 0.553, Ey = 30.3, Ey? = 152.67 and Exy = 8.791.
Compute r. (Round your answer to four decimal places.)
As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
O Given our value of r, y should tend to decrease as x increases.
O Given our value of r, y should tend to remain constant as x increases.
O Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
O Given our value of r, y should tend to increase as x increases.
Transcribed Image Text:In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. 0.249 0.253 0.286 0.263 0.268 0.339 0.299 y 1.2 4.0 5.5 3.8 3.5 7.3 5.0 n USE SALT (a) Make a scatter diagram of the data. Graph Layers « After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill No Solution 0.24 0.25 0.27 0.28 0,3 0.31 0.32 0.28 0.29 0.33 O Help WebAssign. Graphing Tool (b) Use a calculator to verify that Ex = 1.957, Ex? = 0.553, Ey = 30.3, Ey? = 152.67 and Exy = 8.791. Compute r. (Round your answer to four decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to remain constant as x increases. O Given our value of r, we can not draw any conclusions for the behavior of y as x increases. O Given our value of r, y should tend to increase as x increases.
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